Himesh Delhi India
A New Way the Area of Trapezium by Piyush Goel.
Lot of mathematicians have proved Pythagoras theorem in their own ways. If you google it you will indeed found hundred of ways.
Meanwhile I was also sure that maybe one day I could find something new out of this incredible Pythagoras theorem and Recently I got something which I would like to share with you.
To Prove: Deriving the equation of area of trapezium using Arcs
Proof: There is a triangle ABC with sides a b and c as shown in the figure.
Area of ∆ BCEG = Area of ∆ BDC +Area of ⌂ DCEF + Area of ∆ EFG
c^2=ac/2+ Area of ⌂ DCEF + (c-b) c/2
(2c^2– ac –c^2+ bc )/2=Area of ⌂ DCEF
(c^2– ac+ bc )/2=Area of ⌂ DCEF
c(c– a+ b)/2=Area of ⌂ DCEF
Area of ⌂ DCEF=BC(DE+CF)/2
Now time to see Amazing Collection of Piyush Goel (www.piyushgoel.in).. Autograph Collection,16 Hand Write Mirror Image Books, Currency Collection, Stamps Collection, and many more...
Meet Piyush Goel "Mirror Image Writer".. Mirror Imaged Shree Mad BhagvadGita (Pen)
Piyush Goel can write words in mirror image in two languages Hindi and English.
He has completed “World First Mirror Image Book Shreemad BhagvadGita”, all 18 chapters, 700 verses in two languages Hindi and English.Besides all of these he has completed “ShreeDurga Saptsatti” in Sanskrit Languages, ShreeSai Satcharitra in two languages Hindi and English,Sundar Kand (two times).
2. Needle Write Book “Madhushala”(Needle)
To read a book in front of a mirror ,reading then mirror very hard.People asked Piyush to read your mirror imaged books,mirror is necessary, he replied “Yes”
After a lot of thinking an idea stuck into his mind “Why should i not write a book with Needle.Then he started writing “Madhushala”,a book of Harbans Rai Bachchan,father of Amitabh Bachchan,Legend of Indian Cinema,now no need of Mirror.(Mirror image but no need of mirror).
3. Book “Gitanjali”written with Mehndi Cone(Mehdi Cone)
Piyush always think “DO SOMETHING NEW”,because of this thinking,he make a project and work on it.Whenever he has spare time and bring out the work at the end and this is the result of “Gitanjali”a book of Noble Literate Rabindra Nath Tagore,completed with the help of Mehndi Cone.
4. Book “PiyushVani” with the help of Iron Nail (Iron Nail)
Imagination and Creativity brings new things to the world, Piyush started writing “PiyushVani” one of his own published book, written on A-4 size Aluminium Sheet with the help of “Iron Nail”.(Mirror image but no need of mirror).
5. Book ‘Panchtantra”with the help of Carbon Paper (Carbon Paper)
Recently Piyush Goel completed “Vishnu Sharma”,s “Panchtantra” 5 tantras ,41 stories with the help of Carbon Paper,on one page both the words(mirror/non mirror) appeared in front and in the reverse.(Mirror image but no need of mirror).